基于非稳态对流扩散方程高阶紧致差分的煤自燃数值模拟  

Study on Numerical Simulation of Spontaneous Combustion Coal Arounda High-order Compact Difference Scheme for Unsteady Convection Diffusion Equation

作　　者：靳玉萍[1] 张兵[1] 

机构地区：[1]西安科技大学计算机科学与技术学院,西安710054

出　　处：《科学技术与工程》2014年第14期27-32,37,共7页Science Technology and Engineering

基　　金：国家自然科学基金项目(50704025)资助

摘　　要：为提高求解煤自燃非稳态对流扩散方程的有限差分法精度,构造高阶紧致差分格式,采用Richardson外推法进行求解;并针对煤自燃多场耦合模型的求解复杂度,提出一种具有承袭性的解耦策略。利用本文的解法和策略,对宁夏枣泉矿煤进行煤自燃多场耦合数值模拟,模拟计算的结果与相同实验条件下的实验结果相符。In order to improve the accur acy of the finite difference method in the process of solving unsteady convection diffusion equation of coal spontaneous combustion. High-order compact difference scheme is established and solved by Richardson extrapolation method. The decoupling strategy with inheritance has been proposed to reduces the computational complexity of multi-field coupling model of coal spontaneous combustion. Using the method and strategy presented, multi-field coupling numerical simulation is applied into the Ningxia Zaoquan mine coal spontaneous combustion process. Good agreement existed between the experimental data and calculated results.

关 键 词：煤自燃 数值模拟 多场耦合 对流扩散方程 高阶紧致差分 外推法 

分 类 号：TD752.2[矿业工程—矿井通风与安全]